Lời giải:
$(x+3)^2+(x-2)^2=2x^2$
$\Leftrightarrow x^2+6x+9+(x^2-4x+4)=2x^2$
$\Leftrightarrow 2x^2+2x+13=2x^2$
$\Leftrightarrow 2x+13=0$
$\Leftrightarrow x=\frac{-13}{2}$
Tìm x
(2x-3).(x+1)-2x^2+6x=0
(X^2-x+1).(x-3)-x^3+4x^2=0
(X^2-2).(x^2+2)-x^4-2x+5=0
(X-3).(x^2-3x+2)-(x^2-2x-7).(x-2)+2x^2-2x=0
1.giải phương trình :
1)1 + 2/x-1 + 1/x+3=x^2+2x-7/x^2+2x-3
2)x/x^2+5x+6=2/x^2+3x+2 (x=3)
3)1/x^2+9x+20 - 1/x^2+8x+12=x^2-2x-33/x^2+8x+15 (x=-5,7)
4)x+5/3x-6 - 1/2=2x-3/2x-4 (x=25/7)
5)x-1/x^3+1 + 2x+3/x^2-x+1=2x+4/x+1 - 2(x=0)
P)(9-x)(x^2+2x-3) n)(-x+3)(x^2+x+1) O)(-6x+1/2)(x^2-4x+2) q)(6x+1)(x^2-2x-3) r)(2x+1)(-x^2-3x+1) U)(2x-3)(-x^2+x+6) s)(-4x+5)(x^2+3x-2) V)(-1/2x+3)(2x+6-4x^3)
làm phép chia :
a) (x^4 -2x^3 + 2x -1) : (x^2 - 1)
b) (x^3 -8) : (x^2 + 2x +4)
c) (x^6 - 2x^5 + 2x^4 + 6x^3 - 4x^2)n: 6x^2
d) (-2x^5 + 3x^2 - 4x^3) :2x^2
e) (15x^3 - 10x^2 + x - 2) : (x - 2)
f) (2x^4 - 3x^3 - 3x^2 + 6x - 2) : (x^2 - 2)
Tính (rút gọn )
1, 2x(3x-1)-(2x+1)(x-3)
2, 3(x^2-2x)-(4x+2)(x-1)
3, 3x(x-5)-(x-2)^2 -(2x+3)(2x-3)
4, (2x-3)^2+(2x-1) (x+4)
2x ^3 -5x^2+4x-1) : (2x+1)
(x63 -2x+4) ; (x+2)
(6x^3 - 19x^2+23x-12):(2x-3)
(x^4 - 2 x ^3 - 1+ 2 x ):(x^2 - 1)
(6x^3 - 5x^2 + 4x -1 ) : (2x^2-x+1)
(x^4 -5x^2+4):(x^2-3x+2)
a)(3x-1)2+2(3x-1)(2x+1)(2x+1)2
b)(x2+1)(x-3)-(x-3)(x2+3x+9)
c)(2x+3)2+(2x+5)2-2(2x+3)(2x+5)
d)(x-3)(x+3)-(x-3)2
e)(2x+1)2+2(4x2-1)+(2x-1)2
f)(x2-1)(x+2)-(x-2)(x2+2x+4)
a)(3x-1)2+2(3x-1)(2x+1)(2x+1)2
b)(x2+1)(x-3)-(x-3)(x2+3x+9)
c)(2x+3)2+(2x+5)2-2(2x+3)(2x+5)
d)(x-3)(x+3)-(x-3)2
e)(2x+1)2+2(4x2-1)+(2x-1)2
f)(x2-1)(x+2)-(x-2)(x2+2x+4)
tính
a) x. (2x2 - 3) - x2 (5x +1 ) -x2
b) 2(x-2) . (x+3) + (x - 2)2 + (x + 3)2
c) ( 2x +y) 3. (2x - y )2
d) ( 2x - 3 ) . (2x+3) - (x+5)2 - (x-1) . (x+2)
Rút gọn:
1 , -3x(x+2)2+(x+3)(x-1)(x+1)-(2x-3)2
2 , (x-3)(x+3)(x+2)-(x-1)(x2-3)-5x(x+4)2-(x-5)2
3 , 2x(x-4)2-(x+5)(x-2)(x+2)+2(x+5)2-(x-1)2
4 , (x+5)2-4x(2x+3)2-(2x-1)(x+3)(x-3)
5 , -2x(3x+2)(3x-2)+5(x+2)2-(x-1)(2x-1)(2x+1)
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